Chaos and cryptography: Block encryption ciphers based on chaotic maps

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 48, Issue 2, 2001, Pages 163-169

  Jakimoski, Goce ^b   Kocarev, Ljupco ^b  

^a IEEE   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CHAOS THEORY; LINEAR ALGEBRA; PROBABILITY;

BLOCK ENCRYPTION CIPHERS; CHAOTIC MAPS;

CRYPTOGRAPHY;

EID: 0035250017     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.904880     Document Type: Article

References (40)

1. C. E. Shannon, "Communication theory of secrecy systems," Bell Syst. Tech. J.. vol. 28, pp. 656-715, 1949.
2. J. Gickenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Berlin, Germany: Springer, 1983.
3. B. Schneier, Applied Cryptography: Protocols, Algorithms, and Source Code in C. New York: Wiley, 1996.
4. T. Habutsu, Y. Nishio, I.Sasase.andS.Mori, "A secret key cryptosystem by iterating a chaotic map," in Proc. Advances in Cryptology-EURO-CRYPT91. Berlin, Germany: Springer-Verlag, 1991, pp. 127-140.
5. Z. Kotulski and J. Szczepanski, "Discrete chaotic cryptography," Ann. Phys., vol. 6, pp. 381-394, 1997.
6. Z. Kotulski, J. Szczepanski, K. Grski, A. Paszkiewicz, and A. Zugaj, "Application of discrete chaotic dynamical systems in cryptography-DCC method,"//. J. Bifurcation Chaos, vol. 9, pp. 1121-1135, 1999.
7. J. Fridrich, "Symmetric ciphers based on two-dimensional chaotic maps," Int. J. Bifurcation Chaos, vol. 8, pp. 1259-1284, 1998.
8. M. S. Baptista, "Cryptography with chaos," Phys. Lett. A, vol. 240, pp. 50-54, 1998.
9. Y H. Chu and S. Chang, "Dynamical cryptography based on synchronized chaotic systems," Electron. Lett., vol. 35, pp. 974-975, 1999.
10. E. Alvarez, A. Fernandez, P. Garcia, J. Jimenez, and A. Marcano, "New approach to chaotic encryption," Phys. Lett. A, pp. 373-375, 1999.
11. E. Biham, "Cryptanalysis of the chaotic-map cryptosystem suggested at EUROCRYPT'91," in Proc. Advances in Cryptology-EUROCRYPT91. Berlin, Germany: Springer-Verlag, 1991, pp. 532-534.
12. G. Jakimoski and L. Kocarev, "Analysis of some recently proposed chaos-based encryption algorithms," submitted for publication.
13. H. Feistel, "Cryptography and computer privacy," Scientific American, vol. 228, no. 5, pp. 15-33, 1973.
14. L. Brown, J. Pieprzyk, andJ. Seberry, "LOKI: A cryptographic primitive for authentication and secrecy applications," in Proc. Advances in Cryptology-AUSCRYPT90. Berlin, Germany: Springer-Verlag, 1990, pp. 229-236.
15. C. Adams, "Constructing symmetric ciphers using the CAST design procedure," Designs, Codes and Cryptography, vol. 12, pp. 71-104, 1997.
16. B. Schneier, J. Kelsey, D. Whiting, D. Wagner, C. Hall, and N. Freguson. Twofish: A 128-bit block cipher. Online. Available: http://www.counterpane.com/twofish.html
17. M. Blaze and B. Schneier, "The MacGuffin block cipher algorithm," in Fast Software Encryption Second Int. Workshop Proc.. Berlin, Germany: Springer-Verlag, 1995, pp. 97-110.
18. R. Anderson and E. Biham, "Two practical and provably secure block ciphers: BEAR and LION," in Fast Software Encryption, Third Int. Workshop Proc. Berlin, Germany: Springer-Verlag, 1996, pp. 113-120.
19. X. Lai and J. L. Massey, "A proposal for a new block encryption standard," in Advances in Cryptology-EUROCRYPT90. Berlin: Springer-Verlag, 1991, pp. 389-404.
20. J. L. Massey, "SAFER K-64: A byte oriented block-ciphering algorithm," in Fast Software Encryption, R. Anderson, Ed. Berlin, Germany: Springer, 1993, (LNCS 809), pp. 1-17.
21. R. Impagliazzo, L. Levin, and M. Luby, "Pseudo-random number generation from one-way functions," in Proc. 21st Annu. Symp. Theory Computing, 1989, pp. 12-24.
22. M. Luby and C. Rackoff, "How to construct pseudorandom permutations from pseudorandom functions," SIAM J. Comput., vol. 17, pp. 373-386, 1988.
23. R. Impagliazzo and M. Luby, "One-way functions are essential for complexity-based cryptography," in Proc. 30th Annu. Symp. Foundations Computer Science, 1989, pp. 230-235.
24. A. Yao, "Theory and applications of trapdoor functions," in IEEE 23rd Symp. Foundations Computer Science, 1982, pp. 80-91.
25. L. Blum, M. Blum, and M. Shub, "A simple unpredictable pseudo-random number generator," SIAM J. Comput., vol. 15, pp. 364-383, 1986.
26. J. C. Largaris, "Pseudo-random numbers," in Probability and Algorithms. Washington, DC: National Academy, 1992, pp. 65-85.
27. E. Biham and A. Shamir, "Differential cryptanalysis of DES-like cryptosystems," in Advances in Cryptology-CRYPTO'90. Berlin, Germany: Springer-Verlag, 1991, pp. 2-21.
28. _, "Differential cryptanalysis of FEAL and N-Hash," in Advances in Cryptology-EUROCRYPT '91. Berlin, Germany: Springer-Verlag, 1991, pp. 1-16.
29. _, "Differential cryptanalysis of the full 16-round DES," m Advances in Cryptology-CRYPTO'92. Berlin, Germany: Springer-Verlag, 1993.
30. M. Matsui, "Linear cryptanalysis method for DES ciphers," in Advances in Cryptology-EUROCRYPT'93. Berlin, Germany: Springer-Verlag, 1994. pp. 386-397.
31. X. Lai, "Higher order derivations and differential cryptanalysis," in Communication and Cryptography: Two Sides of One Tapestry. Norwell, MA: Kluwer, 1994, pp. 227-233.
32. B. Kaliski, Jr. and M. Robshaw, "Linear cryptoanalysis using multiple approximations," in Advances in Cryptology-CRYPTO '94. Berlin, Germany: Springer-Verlag, 1994, pp. 26-39.
33. L. Knudsen and M. Robshaw, "Non-linear approximations in linear cryptanalysis," in Advances in Cryptology-EUROCRYPT '96. Berlin, Germany: Springer-Verlag, 1996, pp. 224-236.
34. S. Langford and M. Hellman, "Differential-linear cryptanalysis," in Advances in Cryptology-CRYPTO '94. Berlin, Germany: Springer-Verlag, 1994, pp. 17-26.
35. C. Harpes, G. G. Kramer, and J. L. Massey, "A generalization of linear cryptanalysis and the applicability of Matsui' s pilling-up lemma," in Advances in Cryptology-EUROCRYPT '95. Berlin, Germany: Springer-Verlag, 1995, pp. 24-38.
36. X. Lai, J. L. Massey, and S. Murphy, "Markov ciphers and differential cryptanalysis," in Advances in Cryptology-EUROCRYPT '91. Berlin, Germany: Springer-Verlag, 1991, pp. 17-38.
37. F. J. Mac Williams and N. J. A. Sloane, The Theory of Error-Correcting Codes. Amsterdam, The Netherlands: North-Holland, 1977.
38. R. C. Merkle, "Fast software encryption functions," in Advances in Cryptology-CRYPTO '90. Berlin, Germany: Springer-Verlag, 1991, pp. 476-501.
39. RAND Corporation, A Million Random Digits with 100,000 Normal Deviates. Glencoe, IL: Free Press, 1955.
40. E. Biham and A. Shamir, Differential Cryptanalysis of Data Encryption Standard. Berlin, Germany: Springer-Verlag, 1993.